All categories

2 years ago

Calculate the area of the following composite figure.

Mathematics

2 answers:

Alexeev081 [22]2 years ago

4 0

$\bold{ANSWER:}$
100 units^2

$\bold{EXPLANATIONS:}$

Lubov Fominskaja [6]2 years ago

3 0

You could actually convert the shape into a rectangle. By moving the two triangles at the bottom, to fit in the top. Then, the length times width
10x5=50
The answer is 50

You might be interested in

Find the mean absolute deviation (MAD) of the data in the pictograph below

Tanya [424]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

a math teacher claims that she has developed a review course that increases the score of students on the math portion of a colle

madam [21]

Answer:

$H_0: \mu\leq514\\\\H_1: \mu>514$

B. Z=2.255. P=0.01207.

C. Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. P(z>0.94)=0.1736

Step-by-step explanation:

<em>A. state the null and alternative hypotheses.</em>

The null hypothesis states that the review course has no effect, so the scores are still the same. The alternative hypothesis states that the review course increase the score.

$H_0: \mu\leq514\\\\H_1: \mu>514$

B. test the hypothesis at the a=.10 level of confidence. is a mean math score of 520 significantly higher than 514? find the test statistic, find P-value. is the sample statistic significantly higher?

The test statistic Z can be calculated as

$Z=\frac{M-\mu}{s/\sqrt{N}} =\frac{520-514}{119/\sqrt{2000}}=\frac{6}{2.661}=2.255$

The P-value of z=2.255 is P=0.01207.

The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

Then we can conclude that the score of 520 is significantly higher than 514, in this case, specially because the big sample size.

C. do you think that a mean math score of 520 vs 514 will affect the decision of a school admissions adminstrator? in other words does the increase in the score have any practical significance?

Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. test the hypothesis at the a=.10 level of confidence with n=350 students. assume that the sample mean is still 520 and the sample standard deviation is still 119. is a sample mean of 520 significantly more than 514? find test statistic, find p value, is the sample mean statisically significantly higher? what do you conclude about the impact of large samples on the p-value?

In this case, the z-value is

$Z=\frac{520-514}{s/\sqrt{n}} =\frac{6}{119/\sqrt{350}} =\frac{6}{6.36} =0.94\\\\P(z>0.94)=0.1736>\alpha$

In this case, the P-value is greater than the significance level, so there is no evidence that the review course is increasing the scores.

The sample size gives robustness to the results of the sample. A large sample is more representative of the population than a smaller sample. A little difference, as 520 from 514, but in a big sample leads to a more strong evidence of a change in the mean score.

Large samples give more extreme values of z, so P-values that are smaller and therefore tend to be smaller than the significance level.

8 0

2 years ago

Does the following table represent a function? Explain.

MAVERICK [17]

Answer:

The table represents a function because each input corresponds to exactly one output.

Step-by-step explanation:

A table can be regarded as representing a function if and only if every input can only be mapped to exactly one output. In other words, it means, only 1 exact output can be assigned to an input. In a table of function, an input cannot have two different outputs. Although, two different inputs can be assigned to the same output.

From the table given, we see that every input has exactly one output. Although, we have different inputs that gives the same output.

Therefore, we can conclude that the table represents a function because each input corresponds to exactly one output.

3 0

2 years ago

A sailboat traveled 30 miles in 2.5 hours. At the same speed, how far can the boat sail in another 4.5 hours ?

Ivanshal [37]

54 miles

using the formula

speed = $\frac{distance}{time}$ = $\frac{30}{2.5}$ = 12 mph